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math.CO2010
Condorcet domains of tiling type
Vladimir I. Danilov, Alexander V. Karzanov, Gleb A. Koshevoy
A Condorcet domain (CD) is a collection of linear orders on a set of candidates satisfying the following property: for any choice of preferences of voters from this collection, a s…
math.CO2010
Planar flows and Plücker's type quadratic relations over semirings
Vladimir I. Danilov, Alexander V. Karzanov, Gleb A. Koshevoy
It is well known, due to Lindström, that the minors of a (real or complex) matrix can be expressed in terms of weights of flows in a planar directed graph. Another classical fact i…